Well-organized and obviously written, this undergraduate-level textual content covers many of the commonplace simple theorems in workforce idea, supplying proofs of the fundamental theorems of either finite and countless teams and constructing as a lot in their superstructure as house allows. Contents contain: Isomorphism Theorems, Direct Sums, p-Groups and p-Subgroups, loose teams and loose items, Permutation teams, ameliorations and Subgroups, Abelian teams, Supersolvable teams, Extensions, Representations, and extra.
The concluding chapters additionally conceal a wide selection of extra theorems, a few no longer formerly released in e-book shape, together with endless symmetric and alternating teams, items of subgroups, the multiplicative workforce of a department ring, and FC groups.
Over 500 workouts in various levels of trouble let scholars to check their grab of the cloth, that's principally self-contained (except for later chapters which presuppose a few wisdom of linear algebra, polynomials, algebraic integers, and common quantity theory). additionally integrated are a bibliography, index, and an index of notation.
Ideal as a textual content or for reference, this reasonably cheap paperbound variation of Group idea offers arithmetic scholars a lucid, hugely beneficial advent to an more and more very important mathematical self-discipline. will probably be welcomed via a person looking for a cogent, thorough presentation that lends itself both good to self-study or ordinary direction paintings.